{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# §6: Numerical Calculation\n",
    "\n",
    "## Content\n",
    "\n",
    "    6.1 solving equations\n",
    "    6.2 optimize\n",
    "    6.3 interpolate\n",
    "    6.4 fit\n",
    "    6.5 integrate\n",
    "    6.6 differential equation\n",
    "\n",
    "Reference\n",
    "\n",
    "https://docs.scipy.org/doc/scipy/tutorial/index.html#user-guide"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6.1 solving equations\n",
    "\n",
    "### 6.1.1 non-linear equation\n",
    "\n",
    "bisection method\n",
    "\n",
    "equation is $e^x=x^3-2x+3$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import optimize\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = np.linspace(-3,3.5,100)\n",
    "#plt.axhline(y=0, xmin=-2, xmax=2, ls='--', color='k')\n",
    "y1 = np.exp(x)\n",
    "y2 = np.power(x,3)- 2*x + 3\n",
    "plt.plot(x,y1)\n",
    "plt.plot(x,y2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6725051115627139\n"
     ]
    }
   ],
   "source": [
    "f = lambda x: np.exp(x) - np.power(x,3) + 2*x - 3\n",
    "x0 = optimize.bisect(f, 0, 1)\n",
    "print(x0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Newton's method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6725051115638152\n"
     ]
    }
   ],
   "source": [
    "x_guess = 1\n",
    "f_prime = lambda x: np.exp(x) - 3*np.power(x,2) + 2\n",
    "x0 = optimize.newton(f, x_guess, f_prime)\n",
    "print(x0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "secant method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.672505111563816\n"
     ]
    }
   ],
   "source": [
    "x0 = optimize.newton(f, x_guess)\n",
    "print(x0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6725051115633821\n",
      "2.1335179612942397\n"
     ]
    }
   ],
   "source": [
    "x0 = optimize.brentq(f, -1, 1)\n",
    "print(x0)\n",
    "x0 = optimize.brenth(f, -3, 3)\n",
    "print(x0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.1.2 non-linear equations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\begin{cases}\n",
    "y-x^3-2x^2+1=0 \\\\ y+x^2-1=0\n",
    "\\end{cases}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.73205081 0.46410162]\n"
     ]
    }
   ],
   "source": [
    "def f(x):\n",
    "    return [x[1] - x[0]**3 - 2*x[0]**2 + 1, x[1] + x[0]**2 - 1]\n",
    "\n",
    "x0 = optimize.fsolve(f, [1,1])\n",
    "print(x0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6.2 optimize\n",
    "\n",
    "### 6.2.1 unconstrained optimization\n",
    "\n",
    "\n",
    "function is $f(x,y)=(1-x)^2 + 100(y-x^2)^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "conjugate gradient method\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 0.000000\n",
      "         Iterations: 17\n",
      "         Function evaluations: 44\n",
      "         Gradient evaluations: 43\n",
      "[1. 1.]\n",
      "BFGS method\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 0.000000\n",
      "         Iterations: 56\n",
      "         Function evaluations: 73\n",
      "         Gradient evaluations: 73\n",
      "[1. 1.]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import optimize\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "points = []\n",
    "\n",
    "def f(p):\n",
    "    x,y = p\n",
    "    z = (1-x)**2 + 100*(y-x**2)**2\n",
    "    points.append((x,y,z)) #record the search points\n",
    "    return z\n",
    "    \n",
    "def fprime(p):\n",
    "    x,y = p\n",
    "    dx = -2 + 2*x - 400*x*(y-x**2)\n",
    "    dy = 200*(y - x**2)\n",
    "    return np.array([dx, dy])\n",
    "    \n",
    "init_point = (-2,-2)\n",
    "\n",
    "def plot_method(ax, method):\n",
    "    global points\n",
    "    points = []\n",
    "    result = method(f, init_point, fprime)\n",
    "    print(result)\n",
    "    p = np.array(points)\n",
    "    xmin, xmax = p[:,0].min()-1, p[:,0].max()+1\n",
    "    ymin, ymax = p[:,1].min()-1, p[:,1].max()+1\n",
    "    Y, X = np.ogrid[ymin:ymax:500j, xmin:xmax:500j]\n",
    "    Z = np.log10(f((X,Y)))\n",
    "    zmin, zmax = Z.min(), Z.max()\n",
    "    ax.imshow(Z, extent=(xmin,xmax,ymin,ymax))\n",
    "    ax.plot(p[:,0], p[:,1])\n",
    "    ax.scatter(p[:,0], p[:,1], c=range(len(p)))\n",
    "    ax.set_xlim(xmin, xmax)\n",
    "    ax.set_ylim(ymin, ymax)\n",
    "\n",
    "ax1 = plt.subplot(121)\n",
    "print('conjugate gradient method')\n",
    "plot_method(ax1, optimize.fmin_cg) #Conjugate Gradient\n",
    "ax2 = plt.subplot(122)\n",
    "print('BFGS method')\n",
    "plot_method(ax2, optimize.fmin_bfgs) #BFGS\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How to get the initial guess? Brute force search can search on coordinate grid.\n",
    "\n",
    "Consider function $f(x,y)=4\\sin\\pi x + 6\\sin\\pi x + (x-1)^2 + (y-1)^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 100)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(X):\n",
    "    x,y = X\n",
    "    return 4*np.sin(np.pi*x) + 6*np.sin(np.pi*y) + (x-1)**2 + (y-1)**2\n",
    "\n",
    "x_ = y_ = np.linspace(-3,5,100)\n",
    "X,  Y = np.meshgrid(x_, y_)\n",
    "Z = f(np.vstack([X.ravel(), Y.ravel()])).reshape(X.shape)\n",
    "c = plt.contour(X, Y, Z, 25)\n",
    "plt.colorbar(c)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.5 1.5]\n",
      "Optimization terminated successfully.\n",
      "         Current function value: -9.520229\n",
      "         Iterations: 4\n",
      "         Function evaluations: 28\n",
      "         Gradient evaluations: 7\n",
      "[1.47586906 1.48365787]\n",
      "-9.520229273055016\n"
     ]
    }
   ],
   "source": [
    "x_start = optimize.brute(f, (slice(-3,5,0.5), slice(-3,5,0.5)), finish=None)\n",
    "print(x_start)\n",
    "f(x_start)\n",
    "\n",
    "x_opt = optimize.fmin_bfgs(f, x_start)\n",
    "print(x_opt)\n",
    "print(f(x_opt))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.2.2 constrained optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "constrain the variable range\n",
    "\n",
    "$f(x) = (x_{1}-1)^2 + (x_{2}-1)^2 \\\\\n",
    "2\\le x_{1}\\le3, 0\\le x_{2}\\le2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1. 1.]\n",
      "[2. 1.]\n"
     ]
    }
   ],
   "source": [
    "def f(X):\n",
    "    x,y = X\n",
    "    return (x-1)**2 + (y-1)**2\n",
    "\n",
    "opt = optimize.minimize(f, [1,1], method='BFGS')\n",
    "print(opt.x)\n",
    "cons_opt = optimize.minimize(f, [1,1], method='L-BFGS-B', bounds=[(2,3), (0,2)])\n",
    "print(cons_opt.x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$f(x) = (x_{1}-1)^2 + (x_{2}-1)^2 \\\\\n",
    "g(x)=x_{2}-1.75-(x_{1}-0.75)^4\\ge0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.99999999 0.99999999]\n",
      "[0.96857656 1.75228252]\n"
     ]
    }
   ],
   "source": [
    "def g(X):\n",
    "    return X[1] - 1.75 - (X[0]-0.75)**4\n",
    "\n",
    "opt = optimize.minimize(f, (0,0), method='BFGS')\n",
    "print(opt.x)\n",
    "cons_opt = optimize.minimize(f, (0,0), method='SLSQP', constraints=[dict(type='ineq', fun=g)])\n",
    "print(cons_opt.x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_ = y_ = np.linspace(-1,3,100)\n",
    "X,  Y = np.meshgrid(x_, y_)\n",
    "Z = f(np.vstack([X.ravel(), Y.ravel()])).reshape(X.shape)\n",
    "c = plt.contour(X, Y, Z, 25)\n",
    "plt.colorbar(c)\n",
    "plt.plot(opt.x[0], opt.x[1], 'b*')\n",
    "plt.plot(x_, 1.75+(x_-0.75)**4, 'k-')\n",
    "plt.plot(cons_opt.x[0], cons_opt.x[1], 'r*')\n",
    "plt.fill_between(x_, 1.75+(x_-0.75)**4, 3, color='grey')\n",
    "plt.xlim(-1,3)\n",
    "plt.ylim(-1,3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6.3 interpolate\n",
    "\n",
    "Polynomial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6.0 - 5.0 x**1 + 1.0 x**2\n",
      "[2. 3.]\n",
      "[6. 2.]\n",
      "[-1.  0.  1.]\n",
      "5.0 - 5.0 x**1 + 2.0 x**2\n",
      "-6.0 + 5.0 x**1 + 5.0 x**2 - 5.0 x**3 + 1.0 x**4\n"
     ]
    }
   ],
   "source": [
    "import numpy.polynomial as P\n",
    "\n",
    "p1 = P.Polynomial([6,-5,1])\n",
    "print(p1)\n",
    "print(p1.roots())\n",
    "print(p1(np.array([0,1]))) #Polynomial values\n",
    "\n",
    "p2 = P.Polynomial.fromroots([-1,1]) #x^2 - 1\n",
    "print(p2.coef)\n",
    "\n",
    "print(p1+p2)\n",
    "print(p1*p2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Polynomial interpolate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4.1875000000000036 + 3.187499999999997 x**1 - 1.687500000000004 x**2 -\n",
      "1.6874999999999973 x**3\n",
      "[1. 3. 5. 4.]\n",
      "3.3437500000000004 + 1.921874999999999 T_1(x) -\n",
      "0.8437500000000027 T_2(x) - 0.42187499999999956 T_3(x)\n"
     ]
    }
   ],
   "source": [
    "x = np.array([1,2,3,4])\n",
    "y = np.array([1,3,5,4])\n",
    "deg = len(x) - 1\n",
    "f1b = P.Polynomial.fit(x, y, deg)\n",
    "print(f1b)\n",
    "print(f1b(np.array([1,2,3,4])))\n",
    "f2b = P.Chebyshev.fit(x, y, deg) # least absolve error\n",
    "print(f2b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "xx = np.linspace(x.min(), x.max(), 100)\n",
    "plt.plot(xx, f1b(xx), 'b', lw=2, label='Power basis interp.')\n",
    "plt.plot(xx, f2b(xx), 'r--',lw=2, label='Chebyshev basis interp.')\n",
    "plt.scatter(x, y, label='data points')\n",
    "plt.ylabel('y')\n",
    "plt.xlabel('x')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def runge(x):\n",
    "    return 1/(1+25*x**2)\n",
    "\n",
    "plt.figure(figsize=(12,4))\n",
    "xx = np.linspace(-1, 1, 250)\n",
    "plt.plot(xx, runge(xx), 'k', lw=2, label=\"Runge's function\")\n",
    "x = np.linspace(-1,1,10+1)\n",
    "p = P.Polynomial.fit(x, runge(x), deg=10)\n",
    "plt.plot(xx, p(xx), 'r', label='interp. order=11')\n",
    "plt.plot(x, runge(x), 'go')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Spline interpolate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import interpolate\n",
    "\n",
    "x = np.linspace(-1,1,11)\n",
    "y = runge(x)\n",
    "s3 = interpolate.interp1d(x, y, kind='cubic') #spline interpolate\n",
    "\n",
    "plt.figure(figsize=(12,4))\n",
    "xx = np.linspace(-1,1,100)\n",
    "plt.plot(xx, runge(xx), 'k', lw=1, label=\"Runge's function\")\n",
    "plt.plot(x, y, 'bo', label='sample points')\n",
    "plt.plot(xx, s3(xx), 'r--', lw=2, label='spline order 3')\n",
    "plt.legend()\n",
    "plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
    "plt.ylabel('y')\n",
    "plt.xlabel('x')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Multivariate data interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x, y):\n",
    "    return np.exp(-x**2 - y**2) * np.cos(4*x) * np.sin(6*y)\n",
    "\n",
    "#random sample points\n",
    "N = 500\n",
    "x_data = np.random.uniform(-1, 1, N)\n",
    "y_data = np.random.uniform(-1, 1, N)\n",
    "z_data = f(x_data, y_data)\n",
    "\n",
    "x = y = np.linspace(-1, 1, 100)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = f(X, Y)\n",
    "c = plt.contourf(X, Y, Z, 15, cmap=plt.cm.RdBu)\n",
    "plt.scatter(x_data, y_data, marker='.')\n",
    "plt.xlim(-1,1)\n",
    "plt.ylim(-1,1)\n",
    "plt.colorbar(c)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def z_interpolate(x_data, y_data, z_data):\n",
    "    Z_0 = interpolate.griddata((x_data,y_data), z_data, (X,Y), method='nearest')\n",
    "    Z_1 = interpolate.griddata((x_data,y_data), z_data, (X,Y), method='linear')\n",
    "    Z_3 = interpolate.griddata((x_data,y_data), z_data, (X,Y), method='cubic')\n",
    "    return Z_0, Z_1, Z_3\n",
    "\n",
    "fig, axes = plt.subplots(3, 3, figsize=(12,12), sharex=True, sharey=True)\n",
    "n_vec = [50, 150, 500]\n",
    "for idx, n in enumerate(n_vec):\n",
    "    Z_0, Z_1, Z_3 = z_interpolate(x_data[:n], y_data[:n], z_data[:n])\n",
    "    axes[idx,0].contourf(X, Y, Z_0, 15, cmap=plt.cm.RdBu)\n",
    "    axes[idx,0].set_ylabel('%d data points'%n, fontsize=16)\n",
    "    axes[idx,0].set_title('nearest', fontsize=16)\n",
    "    \n",
    "    axes[idx,1].contourf(X, Y, Z_1, 15, cmap=plt.cm.RdBu)\n",
    "    axes[idx,1].set_ylabel('%d data points'%n, fontsize=16)\n",
    "    axes[idx,1].set_title('linear', fontsize=16)\n",
    "    \n",
    "    axes[idx,2].contourf(X, Y, Z_3, 15, cmap=plt.cm.RdBu)\n",
    "    axes[idx,2].set_ylabel('%d data points'%n, fontsize=16)\n",
    "    axes[idx,2].set_title('cubic', fontsize=16)\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6.4 fit\n",
    "\n",
    "https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.curve_fit.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2.42811011 1.56931049 0.60910045]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "def func(x, a, b, c):\n",
    "    return a * np.exp(-b * x) + c\n",
    "\n",
    "#data\n",
    "xdata = np.linspace(0, 4, 50)\n",
    "ydata = func(xdata, 2.5, 1.3, 0.5)\n",
    "y_noise = 0.2 * np.random.normal(size=xdata.size)\n",
    "ydata += y_noise\n",
    "\n",
    "#fit\n",
    "#The first parameter of curve_fit must take the independent variable as the \n",
    "#first argument and the parameters to fit as separate remaining arguments\n",
    "popt, pcov = curve_fit(func, xdata, ydata)\n",
    "print(popt)\n",
    "\n",
    "#plot\n",
    "plt.plot(xdata, ydata, 'o-', label='data')\n",
    "x = np.linspace(0, 4, 500)\n",
    "y = func(x, 2.5, 1.3, 0.5)\n",
    "plt.plot(x, y, 'g-')\n",
    "plt.plot(xdata, func(xdata, *popt), 'r--',\n",
    "         label='fit: a=%5.3f, b=%5.3f, c=%5.3f' % tuple(popt))\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "343.18750000000006 + 59.98042929292927 x**1 - 96.6875000000002 x**2 +\n",
      "15.807449494949513 x**3\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.array([10,20,30,40,50,60,70,80])\n",
    "y = np.array([174,236,305,334,349,351,342,323])\n",
    "\n",
    "p = P.polynomial.Polynomial.fit(x,y,deg=3)\n",
    "print(p)\n",
    "px = p(x) #fit\n",
    "\n",
    "c = P.chebyshev.Chebyshev.fit(x,y,deg=2)\n",
    "cx = c(x)\n",
    "\n",
    "plt.plot(x, y, 's', label='original values')\n",
    "plt.plot(x, px, 'r', label='Power series')\n",
    "plt.plot(x, cx, 'g', label='Chebyshev series')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6.5 integrate\n",
    "\n",
    "### 6.5.1 quad function\n",
    "\n",
    "$\\int_0^{\\pi} sinx dx = 2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "int= 2.0 , error= 2.220446049250313e-14\n"
     ]
    }
   ],
   "source": [
    "from scipy import integrate\n",
    "\n",
    "val, err = integrate.quad(np.sin, 0, np.pi)\n",
    "print('int=',val, ', error=',err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Infinite integral and unbounded integral\n",
    "\n",
    "$\\int_{-\\infty}^{+\\infty} e^{-x^2} dx = \\sqrt{\\pi}$\n",
    "\n",
    "$\\int_{-1}^{1} \\frac{/}{\\sqrt{x}} dx = 2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.7724538509055159 1.4202636781830878e-08\n",
      "1.7724538509055159\n",
      "(3.999999999999999, 1.7319479184152442e-14)\n"
     ]
    }
   ],
   "source": [
    "val, err = integrate.quad(lambda x: np.exp(-x*x), -np.inf, np.inf)\n",
    "print(val, err)\n",
    "\n",
    "from math import sqrt,pi,sqrt\n",
    "print(sqrt(pi))\n",
    "\n",
    "print(integrate.quad(lambda x: 1/sqrt(abs(x)), -1, 1, points=[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.5.2 Integrating using samples\n",
    "\n",
    "The integrand function has no expression, but can only give values at some points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.9742316019455508\n",
      "2.0002691699483877\n",
      "2.000005549979671\n"
     ]
    }
   ],
   "source": [
    "x = np.linspace(0,np.pi,1+2**3)\n",
    "y = np.sin(x)\n",
    "print(integrate.trapz(y,x))\n",
    "print(integrate.simps(y,x))\n",
    "print(integrate.romb(y,dx=x[1]-x[0])) #Romberg method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.5.3 Multiple integration\n",
    "\n",
    "double integral: dblquad\n",
    "\n",
    "triple integral: tplquad\n",
    "\n",
    "N-fold integral: nquad\n",
    "\n",
    "$\\iint\\limits_D\\sqrt{1-x^2-y^2}dxdy = \\int_{-1}^{1}dx\\int_{-\\sqrt{1-x^2}}^{\\sqrt{1-x^2}}\\sqrt{1-x^2-y^2}dy= \\frac{2\\pi}{3}$\n",
    "\n",
    "$D: x^2+y^2\\le1$\n",
    "\n",
    "$\\int_{-1}^{1}\\int_{-1}^{1}\\int_{-1}^{1}\\int_{-1}^{1}\\int_{-1}^{1}e^{-x_1^2+x_2^2+x_3^2+x_4^2+x_5^2}dx_1dx_2dx_3dx_4dx_5 \\approx 0.2323$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2.094395102393199, 1.0002356720661965e-09)\n",
      "2.0943951023931953\n",
      "(0.23232273743438786, 8.29125709942545e-15)\n",
      "time use: 26.454000234603882\n"
     ]
    }
   ],
   "source": [
    "from math import sqrt,pi\n",
    "from time import time\n",
    "\n",
    "def f2(y,x): # y first!\n",
    "    return np.sqrt(1-x*x-y*y)\n",
    "\n",
    "a,b = -1, 1 #x region\n",
    "g = lambda x:-sqrt(1-x*x) #y region\n",
    "h = lambda x:sqrt(1-x*x)\n",
    "print(integrate.dblquad(f2, a, b, g, h))\n",
    "print(2/3*pi)\n",
    "\n",
    "def fn(*args):\n",
    "    return np.exp(-np.sum(np.array(args)**2))\n",
    "\n",
    "t = time()\n",
    "print(integrate.nquad(fn, [(0,1)]*5))\n",
    "print('time use:',time()-t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Monte Carlo method checking"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.23236\n",
      "time use: 0.937999963760376\n"
     ]
    }
   ],
   "source": [
    "from random import uniform\n",
    "\n",
    "t = time()\n",
    "count = 0\n",
    "for it in range(100000):\n",
    "    x = np.random.random(5)\n",
    "    y = uniform(0,1)\n",
    "    if y < fn(x):\n",
    "        count += 1\n",
    "\n",
    "print(count/100000 * 1)\n",
    "print('time use:',time()-t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6.6 differential equation\n",
    "\n",
    "### 6.6.1 ordinary differential equation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "y'=f(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mg80s3sziU1JSTi2piIScQ3v2E3l9Pw6UKEPtL6Zg4RpqyQu/C7qZlQY+Be51zu3PvjqHL/nb7NPOubHOuVjnXGx0dPSpJRWRkPP5k29RZ8cmdox6h/L1ankdp9Dz67RFM4skq5h/6Jz7LIcmyUDt457XArbkPZ6IhKovE/7iHyVakD72K24ceLnXcUKCP2e5GDAeSHTOvXKCZtOAgb6zXeKAfc65rQHMKSIhZNPCZXw08hNiz6hA/5sv8zpOyPCnh342MABYZmYJvteGAXUAnHNjgOlANyAJSAVuCnxUEQkFRw6mcqR3H0bt2cHRp5KI0NygAZNrQXfOzSbnMfLj2zjgzkCFEpHQtbjvrXTavJqlb/6bmOoVvY4TUvSrUUTyTfxrE+j0zUcs6DWAmLtu9DpOyFFBF5F8sTFhFQ0fHcraOo1p9eHbXscJSSroIhJ0R45lcPusrbzfqTdlpn1GsVKasCIYVNBFJOiemTSPlTtSaTr6Jaq1bOJ1nJClgi4iQTX/qTe4+44e/F+DcC5oVMXrOCFNBV1Egibpx99p8dTD7Kp+BjcOuNDrOCFPBV1EgmLf1p0Uv/YaUouXosqMzwkvFul1pJCngi4iAZeZkcm67ldTbc82dr37AZXOqut1pCJBBV1EAm7Mt8vZtf8wCXcPo1FvXdqfXzSnqIgE1KxV23lp9mauHDGal69t5XWcIkU9dBEJmM3xyynevRvnFz/MM71bYmEqMflJPXQRCYiDu/dxtOcVNN+7nWd7NKZEMU1Wkd/061NE8iwzI5NV3fpQb+t6Nr85jhptm3sdqUhSQReRPJs7+CFi588kfvCDNB90rddxiiwVdBHJk+8Wb6TStE9Z3Kkr7UY/73WcIk1j6CJy2lZt2899XyQS88hY3r21oz4E9Zg/U9BNMLMdZrb8BOs7m9k+M0vwPYYHPqaIFDS7N25hSZ+bqRSWweuDzyOqXBmvIxV5/vw6fRfomkub35xzrXyPEXmPJSIFWVrqYbZc0p0r537JuHalqFo2yutIgh8F3Tn3K7A7H7KISCHgMjP5o2d/mq/5g+UjXqHR5Z29jiQ+gRrw6mhmS8xshpk1O1EjMxtsZvFmFp+SkhKgXYtIfpp77xPE/fgZ868bQpthd3sdR44TiIK+GDjDOdcSeBP44kQNnXNjnXOxzrnY6OjoAOxaRPLTD3PX0HD8myTEXkC7iSO9jiPZ5LmgO+f2O+cO+panA5FmVjnPyUSkQFmyeS93TV/HPx4aS+OZXxAWoStBC5o8F3Qzq2Zm5ltu79vmrrxuV0QKjq3L1zLrtkepXKoYTz/Yi6jyZb2OJDnI9Tx0M5sEdAYqm1ky8AQQCeCcGwNcDdxuZunAYaCvc84FLbGI5Kv9O3Zx+JLLuHXXVq54aiiVSxf3OpKcQK4F3Tl3XS7rRwIaTBMJQUcPp7GhczeabvuT1eMn0axtU68jyUnosi4RyZHLzCShax9iEhewZPiLNLvpGq8jSS5U0EUkRxPf+pw2v33DghuG0vbJB7yOI37QvVxE5G/en7uBJ5Kj2PuvKQy99yqv44ifVNBF5H8sen0Cs39Zx0W9ruTO/m10w61CRAVdRP5r+aRpNH9gCPfWbUK9SU8SEa5iXpjo3RIRANbOnEOdm/qxvWI1asyaQVTxSK8jySlSQRcRNs1fQoWrenCkeAmK/zCTcnVqeB1JToMKukgRt2XvYWYMf4OIzAzSps+gakwjryPJaVJBFynCdh1MY8D4+Yzs0Idtv8yj9tmxXkeSPFBBFymi9m3bydq4LkStWcW4G9vROLaJ15Ekj1TQRYqgQ7v3seXsLrRJXMBzseXoUL+S15EkAFTQRYqYIwcOsf6ci2n45wpWvDSamFtPersmKURU0EWKkCMHU1nd6WJaJC4k4cl/0fr+W7yOJAGkgi5SRKSlZ3DPBws5cCCV+GHP03b4fV5HkgDTlaIiRcDRw2nc/948vttwkPMnfUG/jnW9jiRB4M8EFxOA7sAO51zzHNYb8DrQDUgFbnTOLQ50UBE5PUdTj7Ds/G4M2rKFuMlfqZiHMH+GXN4Fup5k/WVAA99jMDA677FEJBDSUg+z4pxLaRv/Exl9rmHAuQ28jiRBlGtBd879Cuw+SZNewESXZR5Q3syqBypgdhmZjlmJ24K1eZGQceRgKivPvpTWf/zKgvufpN1rI7yOJEEWiA9FawKbj3ue7HstKD5euImNAwYz76Z7cZmZwdqNSKF2+GgGc7tdR+uE31j44FO0f/kJryNJPgjEh6KWw2s5ThJtZoPJGpahTp06p7WzPq1rsLg0tH/3deYdOkSHyW/rfs0ixzmYls7N7y4kpWl3Sl7YmQ5P6GyWoiIQlTAZqH3c81rAlpwaOufGOudinXOx0dHRp7WziGKRxP7wOfMv7UPc1HEs6DmAzPSM09qWSKjZt3UnU6+7l0UbdnPf7ZermBcxgSjo04CBliUO2Oec2xqA7Z5QWEQ47adPZl6vgXT45iPmX9aX9AwNv0jRlrJuIyntOnL9l2/zQWxxerbULXCLGn9OW5wEdAYqm1ky8AQQCeCcGwNMJ+uUxSSyTlu8KVhh/ydXWBgdPvs3c2+uwPgDZfn3h4t547rWREWG58fuRQqULUtWkXHRxdTcm8KasR/QsfdFXkcSD5hzOQ53B11sbKyLj48PyLbenfMnT361kttT13Dn8BspXblCQLYrUhhs+C2eEj26USLtMFs/+JhGvS/zOpIEkZktcs7leJ/jkPg08caz6zG6S1XufesRtrWOY+e6TV5HEskX8Rt28+zYmThg9zffq5gXcSFR0AEuuySWVaPfo8b2jaS1jyN5wVKvI4kE1S8/xHP9uPkktezIsZWrqNulo9eRxGMhU9ABWt56HZunfkXJI4co2eU81nz9k9eRRIJi3rAX6HhpR/rtXsEnt3eido2KXkeSAiCkCjpAo14Xc+CHnzhSrARfvfI+M1du9zqSSMBkZmTy+3VDiHvuUVY3jeWhp2+hYqliXseSAiLkCjpAnY5tKLYkgV+uvInb3o9n6lcLvI4kkmdph1JZdH53Ok1+m4UXXUWThT9TsmJ5r2NJARKSBR2gcu2qTL6tI1dXzuTiay5kXq+BZBxL9zqWyGnZfegoI+97lXZzZjD/1geI/W4qEVHFvY4lBUzIFnSAksUieG7oZay6+Aripr3P8tjzObBjl9exRE5J0qad9Bo1m7FV2vDbR9PpMPZfut2F5CjkfyrCIyOIm/Y+8x95hmbL5rGzZTu2/LHS61gifln676mUbtGEmpuSmHJbR869TqclyomFfEH/jw7PD2PVu1OptDeFOYMfZu469dSl4HKZmcy96x80G9SXw6XK8trg82lVW+PlcnJFagq65gOvYlPjs/j3j1tYPX4+T19Qi74XNtefr1KgHDlwiGXd+9Lx16/5I/YCGn77GaUqqZhL7opcJavTPoYp911I1zNK0fa6Hiy8qDdH9h/0OpYIAMl7Upk04CHa/fo1824YSqt5M1XMxW9FrqADlImK5M1B57D70u60/+kLkpu1ZUtCotexpIibs2wTPd6czRvNu7Fo/FTi3n0dC9fN5sR/RbKgQ9YteOM+HEXCyIlUSfmLkp06sHTcZK9jSRGUmZ7B3FsfouZ5cZwZlsZn915A25uv9jqWFEJFtqD/R6s7B7D/19/ZUz6azOFP8NKMlbq3uuSbPRu3sLTNeXQc9y92NW7BxDvOpV7lUl7HkkKqyBd0gFrtY6i2MoGvnxzFqF/+ZPDrM0lZvd7rWBLiEj/9lqMtW9F05QIWPPgUbebM0JWfkicq6D4lypfhH4Mv4uU+LblqwvNEtGlDwuj3vY4lISgj0/HGj2tJeehx0sMj2PTVD7R/6R8620ryzK+fIDPramarzSzJzB7NYf2NZpZiZgm+xy2Bj5o/eretRYsxL7GnfGVa3TGQ+d2v58iBQ17HkhCxbcVa7vjX17wycw3fP/wCZVcs4azLzvc6loQIf6agCwdGAReTNSH0QjOb5pzLfrnlFOfcXUHImO/OOCeWI6uWMK/fbcR9/SF/NppH5sdTOfOcNl5Hk0Is/qW3OeuJh7i2djMu+WgqV7WpiZl5HUtCiD899PZAknNuvXPuKDAZ6BXcWN6LKlOKuK8+YMno90nPdPSfuoq3f1lHRqY3U/ZJ4bVvSwoLz72c2IeHsKNKLRpMHE3vtrVUzCXg/CnoNYHNxz1P9r2WXW8zW2pmn5hZ7Zw2ZGaDzSzezOJTUlJOI27+azmkPxXXrCAmtiEvfLOCby/qy1/xy7yOJYVE/LSfOdy0Ga3nfMu8gXdTf9Uf1O7QyutYEqL8Keg5dSOyd1O/Auo652KAH4D3ctqQc26scy7WORcbHR19akk9VKlsCcb0b8uYtiU49/dvqNixHfPuGU5meobX0aSA2n/kGI98spSbftrBX1XqsP7L74l77w3d8laCyp+Cngwc3+OuBWw5voFzbpdzLs339B2gbWDiFRxmxiXXXszhxX+wpmlb4t54itWN27BxdrzX0aSASRjzActancsXC9bT/9IYmq2YT8MeF3odS4oAfwr6QqCBmdUzs2JAX2Da8Q3MrPpxT3sCIXsdfdWmDYj54zcWDH+ZGn+t5/BVfXht5mrS1Fsv8nau3cCiuEtodfsAau7dzudX1OeRro2JitTl+5I/ci3ozrl04C7gO7IK9cfOuRVmNsLMevqaDTWzFWa2BBgK3BiswAWBhYXR/p/3c2z5Cr544Hle+zGJq1/8nhUfTcv9iyXkZBxLZ94jz1IspgUt4n9i3k33UmN9Ik07xXgdTYoYc86bszZiY2NdfHxoDFf8tGoHSUMf5daZ/yb+7MuoO2EUlRvW8zqW5IOEzXt54tMEnn1uEJQvT9l336F2R53eKsFjZoucc7E5rdOlaQFwQeMqDPjkDeZefwcx82YS1aI5825/lLRDqV5HkyDZuW4Tc7r148aXv2XroXQ2T/mSpokLVczFUyroARJVtjQdPxjFjt8Xsa5Ja+LGvMAPF1zNzJXb8eqvIAm8tNTDzL39MYo3a0L77z5mWKkUfnzgfLp21kQp4j0NuQTJ0vFTeG1NGrOsEpeXTeOemPI07N7F61hymjIzHYtfHE2Nl56mxu6tLI05mwpj3lCPXPKdhlw8EDPoWt5+tj8jejXjws/G0bDHhSyKu4TN85d4HU1OgXOO2Wt30mvUHHZPeJ/DUaVYNn4yMUtmq5hLgaOCHkSR4WEM7FiXS779kLn976TJ4l+p3rENC7pcydYlIXtmZ8hI/GQGy5p2YPiLn7L70FGOvvMO9TYk0uLma72OJpIjFfR8ULpyBTq+P5LUxDXE97ielr9+w8xBD/PYZ8vYvFsfnBY0Kz+eztLmcTTp042ayUk81jSKWQ+eT/fzmxMWWaTmVZdCRmPoHti+Yi3j47fw7ppU2m5cyv3Jc6jyzBOccXbIXWBbaDjn+G1NCqV7X0GbFXPZVao8a/sPpuVzj1OiQlmv44n818nG0NXd8EDVZg0Y1qwBN+87Qvyw+TSf8j0lzvmKP1qfR9Rjj9C4d1edMZFPjh1JY+HYyTyVWY/EbQcYVq0BR7tcSMsRDxNXvozX8UROiXroBcDuP5NZPfwFGn82kQqp+5nX4hy2vDuJy2OqUzxCl40Hw+4Nf7H6mVepP3UiVfelMPTuUZwzsAe9WtXQ91wKtJP10FXQC5DDew+w9JnXmb1xH2/W70zVEmG8vG4G9e+/nRqtmngdr9BzzrF08VrSHniIlrNnUDzjGMubxJJx91Ba3NqPMBVyKQRU0AsZ5xyzk3Yy+90vefi52zDnWN68A8duuIlmt11PVBnNCn8qdv+ZzOwf4hl1sCIb/trFrHFDSI47n2rDHuKM89p5HU/klKigF2Lblq/lz5fepP6Xk6m6L4X9UaUZ+/Jkzu/WkbZ1KhAWpllvcnJk/0FWjpuMffA+zZfMIblcFe755xT6dTiDHs2rUqqk7ksuhZMKegjIOJbOyg+/ZM+UTxnStj+p6Y5h8VOJKe0oP7AfDXteVOSHDI4cy+DXNSkceOkVuk4aSamjh0kpU5F1l1xBlbtupX7nOK8jiuSZCnqIOZiWzo+J26lwz53EzfmGYhnp7CxdkfVxF+Qv7YYAAAiDSURBVBDe7zoa9+tFqeJF4wSmnUkbWP/+Z0R+/RWPxPVnTZlq9Ni8iAHbl1Cifz+aXNeDiOLFvI4pEjA6bTHElC4eQa9WNeGXL9i/fSdLJ0zBvvySpr/OYFrKIa5LKkm7OuW4Y+k3RHftQv1Lzg2ZonYoLZ2lf6yFV16hyu+/cOZfa6kMbC8XTb9emZx5XXvi6l9GZLhO+5SiRz30EJJ2KJUlKzbz485M/vx1IWNfuAGAg8VKsq5RS1Lbtiei33U0OrcNZaMiPU7rn5TV69n8zSyOzp7DvLK1GVkjjpKpB1g4cgBJ9Zuzv/OFRPfuwZkXn6Nz96VIyPOQi5l1BV4HwoFxzrnns60vDkwkay7RXcC1zrkNJ9umCnrw7Vy3iY2fTSf9x1lUTVhI3e0buOnqJ/jpzHZ0O/gng+KncbRFDCVaxlCpXUtqtGlGuEeXth/Zf5BNqzeRGFmONdsPcN7/3c2ZiYuofHAPAEfDI/juvKtIfPifxNWvRNsqUZTShT9SBOWpoJtZOLAGuJisCaMXAtc551Ye1+YOIMY5N8TM+gJXOudOegcjFfT8t29rCkt3HuGPHUeI+OpLrpj4MjX2bPvv+qPhEdzy4ATCGjXinK2JNPtzGRG1ahF1Rm1K1qxGqRpVKHdmXaKKR2Dm39k1LjOTAym7ObhlBwd27WVLrbPYtv8IlT7+gPKLF1Lqr01U2pFMlb0pLKt2Fr1ueJWIMOOtH9+kQlQEGS1bUaHLudS9+ByKlyoZrG+NSKGR14LeEXjSOXep7/ljAM65545r852vzVwziwC2AdHuJBtXQS8Y9m/fyZa5i9m/eBmZK1cy+bKbSEp19Jg6mtt+m/S39k3u+4SjUSV49NeJXLF0JsciipEZFk5GeDjp4RHcfN840jMc937+Gpf/MZOoY2mEkfVjkFKyPO3u/gCA0V88S7u/VpFStRaHqtfmWN16RLRtTdm+fahbuaSu1hQ5gbx+KFoT2Hzc82Sgw4naOOfSzWwfUAnYmS3IYGAwQJ06dfwKL8FVtmplyl5xCVxxCQD/PbHv7nNJ3TOa3Ws3sn/dBtK27eDojl3cdXEMqccyqHCsLX8WP4qlH8MyMgg7dozM8HBa1y5PWJiRGdeRpdUrQKnSUK4sYZUrE1m9Kp9d3olqZaOIfrorkRHhVPbsyEVCjz8FPae/rbP3vP1pg3NuLDAWsnrofuxbPFSyQjlKto+B9v9/9vr//ia/tHGOX/PfbsM1rYIZTURy4M9pAclA7eOe1wK2nKiNb8ilHLA7EAFFRMQ//hT0hUADM6tnZsWAvsC0bG2mATf4lq8GZp1s/FxERAIv1yEX35j4XcB3ZJ22OME5t8LMRgDxzrlpwHjgfTNLIqtn3jeYoUVE5O/8OunYOTcdmJ7tteHHLR8B+gQ2moiInApdWiciEiJU0EVEQoQKuohIiFBBFxEJEZ7dbdHMUoCNp/nllcl2FWohpmMpmELlWELlOEDH8h9nOOeic1rhWUHPCzOLP9G9DAobHUvBFCrHEirHAToWf2jIRUQkRKigi4iEiMJa0Md6HSCAdCwFU6gcS6gcB+hYclUox9BFROTvCmsPXUREslFBFxEJEYWioJtZHzNbYWaZZnbCU33MrKuZrTazJDN7ND8z+svMKprZTDNb6/u3wgnaZZhZgu+R/XbFnsrt+2xmxc1sim/9fDOrm/8pc+fHcdxoZinHvQ+3eJHTH2Y2wcx2mNnyE6w3M3vDd6xLzaxNfmf0hx/H0dnM9h33ngzPqV1BYGa1zewnM0v01a97cmgT2PfFOVfgH0AToBHwMxB7gjbhwDqgPlAMWAI09Tp7DjlfBB71LT8KvHCCdge9znq632fgDmCMb7kvMMXr3Kd5HDcCI73O6ufxnAe0AZafYH03YAZZs4vFAfO9znyax9EZ+NrrnH4eS3WgjW+5DLAmh5+xgL4vhaKH7pxLdM6tzqVZeyDJObfeOXcUmAz0Cn66U9YLeM+3/B5whYdZToc/3+fjj/ET4EIzy2maQi8Vlp8XvzjnfuXks4T1Aia6LPOA8mZWPX/S+c+P4yg0nHNbnXOLfcsHgESy5l8+XkDfl0JR0P2U02TW2b95BUFV59xWyHrDgSonaBdlZvFmNs/MClLR9+f7/D+ThgP/mTS8IPH356W370/hT8ysdg7rC4vC8v/DHx3NbImZzTCzZl6H8Ydv2LE1MD/bqoC+L35NcJEfzOwHoFoOqx53zn3pzyZyeM2TczJPdiynsJk6zrktZlYfmGVmy5xz6wKTME8CNmm4x/zJ+BUwyTmXZmZDyPqro0vQkwVHYXhP/LGYrHuZHDSzbsAXQAOPM52UmZUGPgXudc7tz746hy857felwBR059xFedyEP5NZ54uTHYuZbTez6s65rb4/rXacYBtbfP+uN7OfyfrtXhAK+qlMGp5cgCcNz/U4nHO7jnv6DvBCPuQKlgLz/yMvji+IzrnpZvaWmVV2zhXIm3aZWSRZxfxD59xnOTQJ6PsSSkMu/kxmXRAcP6H2DcDf/vowswpmVty3XBk4G1iZbwlPLlQmDc/1OLKNZfYkawy0sJoGDPSdVREH7PvP0F9hYmbV/vN5jJm1J6uG7Tr5V3nDl3M8kOice+UEzQL7vnj9SbCfnxZfSdZvsjRgO/Cd7/UawPRsnxivIasn+7jXuU9wLJWAH4G1vn8r+l6PBcb5ljsBy8g682IZMMjr3NmO4W/fZ2AE0NO3HAVMBZKABUB9rzOf5nE8B6zwvQ8/AY29znySY5kEbAWO+f6vDAKGAEN86w0Y5TvWZZzgbDGvH34cx13HvSfzgE5eZz7JsZxD1vDJUiDB9+gWzPdFl/6LiISIUBpyEREp0lTQRURChAq6iEiIUEEXEQkRKugiIiFCBV1EJESooIuIhIj/B9tItu93JUlPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(y, x): #the first parameter is y!\n",
    "    return 2*y / x\n",
    "\n",
    "x = np.linspace(-1, 2, 100)\n",
    "y0 = 1\n",
    "y = integrate.odeint(f, y0, x)\n",
    "plt.plot(x, y)\n",
    "plt.plot(x, x*x, 'r--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "differential equations\n",
    "\n",
    "Lorenz equations\n",
    "\n",
    "$\\begin{cases}\n",
    "x'(t)=\\sigma(y-x), \\\\\n",
    "y'(t)=x(\\rho-z)-y, \\\\\n",
    "z'(t)=xy-\\beta z\n",
    "\\end{cases}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(xyz, t, sigma, rho, beta):\n",
    "    x,y,z = xyz\n",
    "    return [sigma*(y-x), x*(rho-z)-y, x*y-beta*z]\n",
    "\n",
    "sigma, rho, beta = 8, 28, 8/3\n",
    "t = np.linspace(0, 25, 10000)\n",
    "xyz0 = [1., 1., 1.]\n",
    "xyz1 = integrate.odeint(f, xyz0, t, args=(sigma, rho, beta))\n",
    "xyz2 = integrate.odeint(f, xyz0, t, args=(sigma, rho, 0.6*beta))\n",
    "xyz3 = integrate.odeint(f, xyz0, t, args=(2*sigma, rho, 0.6*beta))\n",
    "\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12,5), subplot_kw={'projection':'3d'})\n",
    "for ax, xyz, c in [(ax1, xyz1, 'r'), (ax2, xyz2, 'b'), (ax3, xyz3, 'g')]:\n",
    "    ax.plot(xyz[:,0], xyz[:,1], xyz[:,2], c, alpha=0.5)\n",
    "    ax.set_xlabel('x', fontsize=16)\n",
    "    ax.set_ylabel('y', fontsize=16)\n",
    "    ax.set_zlabel('z', fontsize=16)\n",
    "    ax.set_xticks([-15,0,15])\n",
    "    ax.set_yticks([-20,0,20])\n",
    "    ax.set_zticks([0,20,40])\n",
    "plt.show()    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# homework\n",
    "\n",
    "1. Calculate the minima of function 6.2.1 and plot the animate figure of both CG and BFGS method\n",
    "2. There 13 atoms, for each pair of atoms, there is a potential e= r^(-6) - r^(-12). The total potential of these 13 atoms are the potential sum of each pair. Find the global minima potential of these 13 atoms.\n",
    "3. interplate f(x)=sin(x) on x=0, pi/2, pi, 3*pi/2\n",
    "4. Fit sin(x/2) on interval [-1,1] with polynomial of degree 3.\n",
    "\n",
    "5. Calculate $\\int_{0}^{+\\infty} \\frac{dx}{1+x^2}$\n",
    "\n",
    "6. Calculate $\\int_{0}^{1}\\int_{x}^{1} e^{-y^2}dy$ in the triangle range y=x, x=0, and y=1.\n",
    "\n",
    "7. Solve $(x^2-1)y'+2xy^2=0$ with initial value y(2)=1.\n",
    "\n",
    "8. Solve the following differential equations\n",
    "\n",
    "$\\begin{cases}\n",
    "\\frac{dx}{dt}=2x+y \\\\\n",
    "\\frac{dy}{dt}=3x+2y\n",
    "\\end{cases}$\n",
    "$\\begin{cases}\n",
    "x(0)=2 \\\\\n",
    "y(0)=0\n",
    "\\end{cases}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
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